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Prelims

UPSC Prelims Questions

Practice UPSC Prelims MCQs by subject and year. Free questions with explanations for focused revision.

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  2. /Prelims Questions
Q.1369·Miscellaneous·2024·Easy

Question: What is the ratio of the lengths of diagonals of a rhombus? Statement-I: One diagonal of the rhombus is equal to its side. Statement-II: The longer diagonal of the rhombus is equal to √3 times its side.

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Q.1370·Miscellaneous·2024·Easy

If p is the perimeter of the smallest sector, then what is the value of 9p?

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Q.1371·Miscellaneous·2024·Easy

A circle touches all the four sides AB, BC, CD, DA of a quadrilateral ABCD. Question: What is the perimeter of the quadrilateral? Statement-I: AB + DC = 10 cm Statement-II: AD + BC = 10 cm

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Q.1372·Miscellaneous·2024·Easy

Two trains A and B started from stations P and Q respectively towards each other. Train A started at 7 p.m. at a speed of 60 km/hr and train B started at 4 a.m. (next day) at a speed of 90 km/hr. The distance between the two stations P and Q is 800 km. How far from station Q will the two trains meet?

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Q.1373·Miscellaneous·2024·Easy

The speeds of four cars are 2u, 3u, 4u and xu and the time taken by them to cover the same distance is xt, 4t, 3t and 2t respectively, where x, u, t are real numbers. What is the value of x ?

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Q.1374·Miscellaneous·2024·Easy

If the difference between the interior and exterior angles of a regular polygon is 144°, then what is the number of sides of the polygon ?

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Q.1375·Miscellaneous·2024·Easy

If p, q and r are the lengths (in cm) of the sides of a right-angled triangle, then (p - q – r)(q – r – p)(r – p - q) is always

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Q.1376·Miscellaneous·2024·Easy

The following Pie-Chart-I shows the people migrating to Delhi from different Indian States (P, Q and R are three different States and S is the combined group of other States) and Pie-Chart-II indicates the different age groups A, B, C and D of these migrating people for each State. What is the difference between number of people coming from R having age group A and those coming from Q having age group D ?

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Q.1377·Miscellaneous·2024·Easy

Let two parallel line segments PQ = 5 cm and RS = 3 cm be perpendicular to a horizontal line AB, as shown in the figure given below. The point of intersection of PS and QR is M and MN is perpendicular to QS. What is the ratio of the area of the quadrilateral PQNM to the area of the quadrilateral RSNM?

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Q.1378·Miscellaneous·2024·Easy

Question: Is xy positive? Statement-I: x = ∛-0.19683 Statement-II: y = ∛x

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Q.1379·Miscellaneous·2024·Easy

Let mn = k, where m and n are prime numbers and k is an even number. Question: What is the value of mn - n + 1? Statement-I: m > n Statement-II: One of the numbers is 2.

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Q.1380·Miscellaneous·2024·Easy

The arithmetic mean of n numbers is M. If the sum of first (n -1) terms is k, then what is the nth number?

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Q.1381·Miscellaneous·2024·Easy

Consider two identical rectangles ABCD and BEDF as shown in the figure given below. Let AB = 1 cm and BC = 2 cm. What is the area of the overlapping region ?

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Q.1382·Miscellaneous·2024·Easy

Two circles with centres at O 1 ​ and O 2 touching each other are placed inside a rectangle of sides 9 cm and 8 cm as shown in the figure given below. What is the area of the shaded region ?

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Q.1383·Miscellaneous·2024·Easy

What is the geometric mean of 3, 9, 27, 81, 243, 729, 2187 ?

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Q.1384·Miscellaneous·2024·Easy

Consider two identical rectangles ABCD and BEDF as shown in the figure given below. Let AB = 1 cm and BC = 2 cm. What is the area of the non-overlapping region ?

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Q.1385·Miscellaneous·2024·Easy

The following Pie-Chart-I shows the people migrating to Delhi from different Indian States (P, Q and R are three different States and S is the combined group of other States) and Pie-Chart-II indicates the different age groups A, B, C and D of these migrating people for each State. If the people coming from a particular State belonging to S are 15% and 24,000 in number, then what is the total number of migrating people belonging to the age group B ?

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Q.1386·Miscellaneous·2024·Easy

A triangle CEF is drawn inside a square ABCD as shown in the figure given below. Given: CF = 8 cm, EF = 6 cm and CE = 10 cm. What is the area of triangle CDE?

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